Year 6 Working systematically

game

Favourite

Dicey perimeter, dicey area

Age

7 to 11

Challenge level

In this game for two players, you throw two dice and find the product. How many shapes can you draw on the grid which have that area or perimeter?

problem

The moons of Vuvv

Age

7 to 11

Challenge level

The planet of Vuvv has seven moons. Can you work out how long it is between each super-eclipse?

problem

Plenty of pens

Age

7 to 11

Challenge level

Amy's mum had given her £2.50 to spend. She bought four times as many pens as pencils and was given 40p change. How many of each did she buy?

problem

First connect three

Age

7 to 11

Challenge level

Add or subtract the two numbers on the spinners and try to complete a row of three. Are there some numbers that are good to aim for?

problem

Domino sets

Age

7 to 11

Challenge level

How do you know if your set of dominoes is complete?

problem

Shape draw

Age

7 to 11

Challenge level

Use the information on these cards to draw the shape that is being described.

problem

Round the four dice

Age

7 to 11

Challenge level

This activity involves rounding four-digit numbers to the nearest thousand.

problem

Round the three dice

Age

7 to 11

Challenge level

What happens when you round these three-digit numbers to the nearest 100?

problem

4 by 4 Mathdokus

Age

7 to 14

Challenge level

Can you use the clues to complete these 4 by 4 Mathematical Sudokus?

problem

Round and round the circle

Age

7 to 11

Challenge level

What happens if you join every second point on this circle? How about every third point? Try with different steps and see if you can predict what will happen.

problem

Making cuboids

Age

7 to 11

Challenge level

Let's say you can only use two different lengths - 2 units and 4 units. Using just these 2 lengths as the edges how many different cuboids can you make?

problem

Mystery matrix

Age

7 to 11

Challenge level

Can you fill in this table square? The numbers 2 -12 were used to generate it with just one number used twice.

problem

Factor lines

Age

7 to 14

Challenge level

Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.

problem

Orange drink

Age

7 to 11

Challenge level

A 750 ml bottle of concentrated orange squash is enough to make fifteen 250 ml glasses of diluted orange drink. How much water is needed to make 10 litres of this drink?

problem

Factor-multiple chains

Age

7 to 11

Challenge level

Can you see how these factor-multiple chains work? Find the chain which contains the smallest possible numbers. How about the largest possible numbers?